Question
In the given figure, is the centre of a circle, and , find .
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Text solutionVerified
We know that the angle subtended by an arc of a circle at the centre is double the angle subtended by the arc at any point on the circumference
So we get
From the figure we know that
It can be written as
We know that
By substituting the values
By division
In
Using the angle sum property
By substituting the values we get
On further calculation
By subtraction
So we get
From the figure we know that
So we get
Therefore , .
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Column 1,2 and 3 contains conics, equations of tangents to the conics and points of contact, respectively.Column I, Column 2, Column 3I, , (i), , (P), II, , (ii), , (Q), III, , (iii), , (R), IV, , (iv), , (S), The tangent to a suitable conic (Column 1) at is found to be then which of the following options is the only CORRECT combination?(IV) (iii) (S) (b) (II) (iii) (R)(II) (iv) (R) (d) (IV) (iv) (S)Stuck on the question or explanation?
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Question Text | In the given figure, is the centre of a circle, and , find . |
Answer Type | Text solution:1 |
Upvotes | 150 |